Daily Practice · Higher
July 1974 5-a-day
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The batch download puts all 5 tiers' July 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1974A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 2nd July 1974A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 3rd July 197419 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th July 1974A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 5th July 1974Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 6th July 1974A region is defined by y < 4x - 1. Should the boundary line be solid or dashed, and why?
- 7th July 1974y is inversely proportional to x. When x = 4, y = 5. Work out y when x = 5.
- 8th July 1974The point (5, -4) is enlarged by scale factor -1 about the centre (-3, -3). Write down the coordinates of the image.
- 9th July 19744 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th July 1974Four classes in order have frequencies 3, 5, 7, 10. Write down the cumulative frequency at the end of the third class.
- 11th July 1974A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 12th July 1974Factorise x^2 - 5x - 36.
- 13th July 1974y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 9.
- 14th July 1974Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 384 cm^3. Work out the volume of the smaller.
- 15th July 197410 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th July 197410 beetles are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 17th July 1974A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th July 1974Work out the equation of the line parallel to y = 2x - 7 that passes through (4, 15).
- 19th July 1974y is directly proportional to x. When x = 6, y = 48. Work out y when x = 9.
- 20th July 1974A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 21st July 19745 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd July 1974A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd July 1974Work out (12 x 10^7) / (3 x 10^2). Give your answer in standard form.
- 24th July 1974A line has equation y = -3x + 4. Work out the gradient of any line perpendicular to it.
- 25th July 1974A town's population is 7000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 26th July 1974ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 27th July 197412 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th July 1974A box plot has a minimum of 18 and a maximum of 59. Work out the range.
- 29th July 1974Write the recurring decimal 0.777... as a fraction in its simplest form.
- 30th July 1974For the curve y = -12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 31st July 1974A block has volume 180 cm^3 and density 7.5 g/cm^3. Work out its mass.